TSTP Solution File: NUM483+3 by SRASS---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SRASS---0.1
% Problem : NUM483+3 : TPTP v5.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : SRASS -q2 -a 0 10 10 10 -i3 -n60 %s
% Computer : art03.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 2018MB
% OS : Linux 2.6.26.8-57.fc8
% CPULimit : 300s
% DateTime : Wed Dec 29 19:29:45 EST 2010
% Result : Theorem 9.33s
% Output : Solution 9.33s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Reading problem from /tmp/SystemOnTPTP29823/NUM483+3.tptp
% Adding relevance values
% Extracting the conjecture
% Sorting axioms by relevance
% Looking for THM ...
% found
% SZS status THM for /tmp/SystemOnTPTP29823/NUM483+3.tptp
% SZS output start Solution for /tmp/SystemOnTPTP29823/NUM483+3.tptp
% TreeLimitedRun: ----------------------------------------------------------
% TreeLimitedRun: /home/graph/tptp/Systems/EP---1.2/eproof --print-statistics -xAuto -tAuto --cpu-limit=60 --proof-time-unlimited --memory-limit=Auto --tstp-in --tstp-out /tmp/SRASS.s.p
% TreeLimitedRun: CPU time limit is 60s
% TreeLimitedRun: WC time limit is 120s
% TreeLimitedRun: PID is 29919
% TreeLimitedRun: ----------------------------------------------------------
% PrfWatch: 0.00 CPU 0.00 WC
% PrfWatch: 1.92 CPU 2.01 WC
% PrfWatch: 3.91 CPU 4.01 WC
% # Preprocessing time : 0.021 s
% # Problem is unsatisfiable (or provable), constructing proof object
% # SZS status Theorem
% PrfWatch: 5.90 CPU 6.02 WC
% PrfWatch: 7.90 CPU 8.02 WC
% # SZS output start CNFRefutation.
% fof(1, axiom,aNaturalNumber0(sz00),file('/tmp/SRASS.s.p', mSortsC)).
% fof(2, axiom,(aNaturalNumber0(sz10)&~(sz10=sz00)),file('/tmp/SRASS.s.p', mSortsC_01)).
% fof(3, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>aNaturalNumber0(sdtasdt0(X1,X2))),file('/tmp/SRASS.s.p', mSortsB_02)).
% fof(4, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),file('/tmp/SRASS.s.p', mMulComm)).
% fof(5, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),file('/tmp/SRASS.s.p', mMulAsso)).
% fof(6, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),file('/tmp/SRASS.s.p', m_MulUnit)).
% fof(7, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),file('/tmp/SRASS.s.p', m_MulZero)).
% fof(8, axiom,![X1]:(aNaturalNumber0(X1)=>(~(X1=sz00)=>![X2]:![X3]:((aNaturalNumber0(X2)&aNaturalNumber0(X3))=>((sdtasdt0(X1,X2)=sdtasdt0(X1,X3)|sdtasdt0(X2,X1)=sdtasdt0(X3,X1))=>X2=X3)))),file('/tmp/SRASS.s.p', mMulCanc)).
% fof(10, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(doDivides0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))),file('/tmp/SRASS.s.p', mDefDiv)).
% fof(11, axiom,![X1]:![X2]:![X3]:(((aNaturalNumber0(X1)&aNaturalNumber0(X2))&aNaturalNumber0(X3))=>((doDivides0(X1,X2)&doDivides0(X2,X3))=>doDivides0(X1,X3))),file('/tmp/SRASS.s.p', mDivTrans)).
% fof(13, axiom,aNaturalNumber0(xk),file('/tmp/SRASS.s.p', m__1716)).
% fof(14, axiom,![X1]:(((aNaturalNumber0(X1)&~(X1=sz00))&~(X1=sz10))=>(iLess0(X1,xk)=>?[X2]:((((((aNaturalNumber0(X2)&?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3)))&doDivides0(X2,X1))&~(X2=sz00))&~(X2=sz10))&![X3]:((aNaturalNumber0(X3)&(?[X4]:(aNaturalNumber0(X4)&X2=sdtasdt0(X3,X4))|doDivides0(X3,X2)))=>(X3=sz10|X3=X2)))&isPrime0(X2)))),file('/tmp/SRASS.s.p', m__1700)).
% fof(15, axiom,(~(xk=sz00)&~(xk=sz10)),file('/tmp/SRASS.s.p', m__1716_04)).
% fof(16, axiom,~((![X1]:(((aNaturalNumber0(X1)&?[X2]:(aNaturalNumber0(X2)&xk=sdtasdt0(X1,X2)))&doDivides0(X1,xk))=>(X1=sz10|X1=xk))|isPrime0(xk))),file('/tmp/SRASS.s.p', m__1725)).
% fof(18, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=sz00)&doDivides0(X1,X2))=>![X3]:(X3=sdtsldt0(X2,X1)<=>(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3))))),file('/tmp/SRASS.s.p', mDefQuot)).
% fof(19, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((doDivides0(X1,X2)&~(X2=sz00))=>sdtlseqdt0(X1,X2))),file('/tmp/SRASS.s.p', mDivLE)).
% fof(22, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(~(X1=sz00)=>sdtlseqdt0(X2,sdtasdt0(X2,X1)))),file('/tmp/SRASS.s.p', mMonMul2)).
% fof(23, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((~(X1=X2)&sdtlseqdt0(X1,X2))=>iLess0(X1,X2))),file('/tmp/SRASS.s.p', mIH_03)).
% fof(25, axiom,![X1]:(aNaturalNumber0(X1)=>(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),file('/tmp/SRASS.s.p', m_AddZero)).
% fof(35, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>((sdtlseqdt0(X1,X2)&sdtlseqdt0(X2,X1))=>X1=X2)),file('/tmp/SRASS.s.p', mLEAsym)).
% fof(39, axiom,![X1]:![X2]:((aNaturalNumber0(X1)&aNaturalNumber0(X2))=>(sdtlseqdt0(X1,X2)<=>?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))),file('/tmp/SRASS.s.p', mDefLE)).
% fof(42, conjecture,?[X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xk=sdtasdt0(X1,X2))|doDivides0(X1,xk)))&(((~(X1=sz00)&~(X1=sz10))&![X2]:(((aNaturalNumber0(X2)&?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3)))&doDivides0(X2,X1))=>(X2=sz10|X2=X1)))|isPrime0(X1))),file('/tmp/SRASS.s.p', m__)).
% fof(43, negated_conjecture,~(?[X1]:((aNaturalNumber0(X1)&(?[X2]:(aNaturalNumber0(X2)&xk=sdtasdt0(X1,X2))|doDivides0(X1,xk)))&(((~(X1=sz00)&~(X1=sz10))&![X2]:(((aNaturalNumber0(X2)&?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3)))&doDivides0(X2,X1))=>(X2=sz10|X2=X1)))|isPrime0(X1)))),inference(assume_negation,[status(cth)],[42])).
% cnf(46,plain,(aNaturalNumber0(sz00)),inference(split_conjunct,[status(thm)],[1])).
% cnf(48,plain,(aNaturalNumber0(sz10)),inference(split_conjunct,[status(thm)],[2])).
% fof(49, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|aNaturalNumber0(sdtasdt0(X1,X2))),inference(fof_nnf,[status(thm)],[3])).
% fof(50, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|aNaturalNumber0(sdtasdt0(X3,X4))),inference(variable_rename,[status(thm)],[49])).
% cnf(51,plain,(aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[50])).
% fof(52, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|sdtasdt0(X1,X2)=sdtasdt0(X2,X1)),inference(fof_nnf,[status(thm)],[4])).
% fof(53, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|sdtasdt0(X3,X4)=sdtasdt0(X4,X3)),inference(variable_rename,[status(thm)],[52])).
% cnf(54,plain,(sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[53])).
% fof(55, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))),inference(fof_nnf,[status(thm)],[5])).
% fof(56, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|sdtasdt0(sdtasdt0(X4,X5),X6)=sdtasdt0(X4,sdtasdt0(X5,X6))),inference(variable_rename,[status(thm)],[55])).
% cnf(57,plain,(sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[56])).
% fof(58, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz10)=X1&X1=sdtasdt0(sz10,X1))),inference(fof_nnf,[status(thm)],[6])).
% fof(59, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz10)=X2&X2=sdtasdt0(sz10,X2))),inference(variable_rename,[status(thm)],[58])).
% fof(60, plain,![X2]:((sdtasdt0(X2,sz10)=X2|~(aNaturalNumber0(X2)))&(X2=sdtasdt0(sz10,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[59])).
% cnf(61,plain,(X1=sdtasdt0(sz10,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% cnf(62,plain,(sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[60])).
% fof(63, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtasdt0(X1,sz00)=sz00&sz00=sdtasdt0(sz00,X1))),inference(fof_nnf,[status(thm)],[7])).
% fof(64, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtasdt0(X2,sz00)=sz00&sz00=sdtasdt0(sz00,X2))),inference(variable_rename,[status(thm)],[63])).
% fof(65, plain,![X2]:((sdtasdt0(X2,sz00)=sz00|~(aNaturalNumber0(X2)))&(sz00=sdtasdt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[64])).
% cnf(66,plain,(sz00=sdtasdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[65])).
% cnf(67,plain,(sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[65])).
% fof(68, plain,![X1]:(~(aNaturalNumber0(X1))|(X1=sz00|![X2]:![X3]:((~(aNaturalNumber0(X2))|~(aNaturalNumber0(X3)))|((~(sdtasdt0(X1,X2)=sdtasdt0(X1,X3))&~(sdtasdt0(X2,X1)=sdtasdt0(X3,X1)))|X2=X3)))),inference(fof_nnf,[status(thm)],[8])).
% fof(69, plain,![X4]:(~(aNaturalNumber0(X4))|(X4=sz00|![X5]:![X6]:((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6)))),inference(variable_rename,[status(thm)],[68])).
% fof(70, plain,![X4]:![X5]:![X6]:((((~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6)))|((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))&~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4)))|X5=X6))|X4=sz00)|~(aNaturalNumber0(X4))),inference(shift_quantors,[status(thm)],[69])).
% fof(71, plain,![X4]:![X5]:![X6]:(((((~(sdtasdt0(X4,X5)=sdtasdt0(X4,X6))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))&((((~(sdtasdt0(X5,X4)=sdtasdt0(X6,X4))|X5=X6)|(~(aNaturalNumber0(X5))|~(aNaturalNumber0(X6))))|X4=sz00)|~(aNaturalNumber0(X4)))),inference(distribute,[status(thm)],[70])).
% cnf(72,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X3,X1)!=sdtasdt0(X2,X1)),inference(split_conjunct,[status(thm)],[71])).
% cnf(73,plain,(X1=sz00|X3=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|sdtasdt0(X1,X3)!=sdtasdt0(X1,X2)),inference(split_conjunct,[status(thm)],[71])).
% fof(77, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&(![X3]:(~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|doDivides0(X1,X2)))),inference(fof_nnf,[status(thm)],[10])).
% fof(78, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(variable_rename,[status(thm)],[77])).
% fof(79, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5))))&(![X7]:(~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5)))),inference(skolemize,[status(esa)],[78])).
% fof(80, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))&(~(doDivides0(X4,X5))|(aNaturalNumber0(esk1_2(X4,X5))&X5=sdtasdt0(X4,esk1_2(X4,X5)))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[79])).
% fof(81, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(X5=sdtasdt0(X4,X7)))|doDivides0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((X5=sdtasdt0(X4,esk1_2(X4,X5))|~(doDivides0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[80])).
% cnf(84,plain,(doDivides0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[81])).
% fof(85, plain,![X1]:![X2]:![X3]:(((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|~(aNaturalNumber0(X3)))|((~(doDivides0(X1,X2))|~(doDivides0(X2,X3)))|doDivides0(X1,X3))),inference(fof_nnf,[status(thm)],[11])).
% fof(86, plain,![X4]:![X5]:![X6]:(((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|~(aNaturalNumber0(X6)))|((~(doDivides0(X4,X5))|~(doDivides0(X5,X6)))|doDivides0(X4,X6))),inference(variable_rename,[status(thm)],[85])).
% cnf(87,plain,(doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[86])).
% cnf(100,plain,(aNaturalNumber0(xk)),inference(split_conjunct,[status(thm)],[13])).
% fof(101, plain,![X1]:(((~(aNaturalNumber0(X1))|X1=sz00)|X1=sz10)|(~(iLess0(X1,xk))|?[X2]:((((((aNaturalNumber0(X2)&?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3)))&doDivides0(X2,X1))&~(X2=sz00))&~(X2=sz10))&![X3]:((~(aNaturalNumber0(X3))|(![X4]:(~(aNaturalNumber0(X4))|~(X2=sdtasdt0(X3,X4)))&~(doDivides0(X3,X2))))|(X3=sz10|X3=X2)))&isPrime0(X2)))),inference(fof_nnf,[status(thm)],[14])).
% fof(102, plain,![X5]:(((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10)|(~(iLess0(X5,xk))|?[X6]:((((((aNaturalNumber0(X6)&?[X7]:(aNaturalNumber0(X7)&X5=sdtasdt0(X6,X7)))&doDivides0(X6,X5))&~(X6=sz00))&~(X6=sz10))&![X8]:((~(aNaturalNumber0(X8))|(![X9]:(~(aNaturalNumber0(X9))|~(X6=sdtasdt0(X8,X9)))&~(doDivides0(X8,X6))))|(X8=sz10|X8=X6)))&isPrime0(X6)))),inference(variable_rename,[status(thm)],[101])).
% fof(103, plain,![X5]:(((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10)|(~(iLess0(X5,xk))|((((((aNaturalNumber0(esk3_1(X5))&(aNaturalNumber0(esk4_1(X5))&X5=sdtasdt0(esk3_1(X5),esk4_1(X5))))&doDivides0(esk3_1(X5),X5))&~(esk3_1(X5)=sz00))&~(esk3_1(X5)=sz10))&![X8]:((~(aNaturalNumber0(X8))|(![X9]:(~(aNaturalNumber0(X9))|~(esk3_1(X5)=sdtasdt0(X8,X9)))&~(doDivides0(X8,esk3_1(X5)))))|(X8=sz10|X8=esk3_1(X5))))&isPrime0(esk3_1(X5))))),inference(skolemize,[status(esa)],[102])).
% fof(104, plain,![X5]:![X8]:![X9]:((((((((~(aNaturalNumber0(X9))|~(esk3_1(X5)=sdtasdt0(X8,X9)))&~(doDivides0(X8,esk3_1(X5))))|~(aNaturalNumber0(X8)))|(X8=sz10|X8=esk3_1(X5)))&((((aNaturalNumber0(esk3_1(X5))&(aNaturalNumber0(esk4_1(X5))&X5=sdtasdt0(esk3_1(X5),esk4_1(X5))))&doDivides0(esk3_1(X5),X5))&~(esk3_1(X5)=sz00))&~(esk3_1(X5)=sz10)))&isPrime0(esk3_1(X5)))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10)),inference(shift_quantors,[status(thm)],[103])).
% fof(105, plain,![X5]:![X8]:![X9]:((((((((~(aNaturalNumber0(X9))|~(esk3_1(X5)=sdtasdt0(X8,X9)))|~(aNaturalNumber0(X8)))|(X8=sz10|X8=esk3_1(X5)))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10))&((((~(doDivides0(X8,esk3_1(X5)))|~(aNaturalNumber0(X8)))|(X8=sz10|X8=esk3_1(X5)))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10)))&((((((aNaturalNumber0(esk3_1(X5))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10))&(((aNaturalNumber0(esk4_1(X5))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10))&((X5=sdtasdt0(esk3_1(X5),esk4_1(X5))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10))))&((doDivides0(esk3_1(X5),X5)|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10)))&((~(esk3_1(X5)=sz00)|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10)))&((~(esk3_1(X5)=sz10)|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10))))&((isPrime0(esk3_1(X5))|~(iLess0(X5,xk)))|((~(aNaturalNumber0(X5))|X5=sz00)|X5=sz10))),inference(distribute,[status(thm)],[104])).
% cnf(106,plain,(X1=sz10|X1=sz00|isPrime0(esk3_1(X1))|~aNaturalNumber0(X1)|~iLess0(X1,xk)),inference(split_conjunct,[status(thm)],[105])).
% cnf(109,plain,(X1=sz10|X1=sz00|doDivides0(esk3_1(X1),X1)|~aNaturalNumber0(X1)|~iLess0(X1,xk)),inference(split_conjunct,[status(thm)],[105])).
% cnf(112,plain,(X1=sz10|X1=sz00|aNaturalNumber0(esk3_1(X1))|~aNaturalNumber0(X1)|~iLess0(X1,xk)),inference(split_conjunct,[status(thm)],[105])).
% cnf(115,plain,(xk!=sz10),inference(split_conjunct,[status(thm)],[15])).
% cnf(116,plain,(xk!=sz00),inference(split_conjunct,[status(thm)],[15])).
% fof(117, plain,(?[X1]:(((aNaturalNumber0(X1)&?[X2]:(aNaturalNumber0(X2)&xk=sdtasdt0(X1,X2)))&doDivides0(X1,xk))&(~(X1=sz10)&~(X1=xk)))&~(isPrime0(xk))),inference(fof_nnf,[status(thm)],[16])).
% fof(118, plain,(?[X3]:(((aNaturalNumber0(X3)&?[X4]:(aNaturalNumber0(X4)&xk=sdtasdt0(X3,X4)))&doDivides0(X3,xk))&(~(X3=sz10)&~(X3=xk)))&~(isPrime0(xk))),inference(variable_rename,[status(thm)],[117])).
% fof(119, plain,((((aNaturalNumber0(esk5_0)&(aNaturalNumber0(esk6_0)&xk=sdtasdt0(esk5_0,esk6_0)))&doDivides0(esk5_0,xk))&(~(esk5_0=sz10)&~(esk5_0=xk)))&~(isPrime0(xk))),inference(skolemize,[status(esa)],[118])).
% cnf(123,plain,(doDivides0(esk5_0,xk)),inference(split_conjunct,[status(thm)],[119])).
% cnf(124,plain,(xk=sdtasdt0(esk5_0,esk6_0)),inference(split_conjunct,[status(thm)],[119])).
% cnf(125,plain,(aNaturalNumber0(esk6_0)),inference(split_conjunct,[status(thm)],[119])).
% cnf(126,plain,(aNaturalNumber0(esk5_0)),inference(split_conjunct,[status(thm)],[119])).
% fof(132, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=sz00|~(doDivides0(X1,X2)))|![X3]:((~(X3=sdtsldt0(X2,X1))|(aNaturalNumber0(X3)&X2=sdtasdt0(X1,X3)))&((~(aNaturalNumber0(X3))|~(X2=sdtasdt0(X1,X3)))|X3=sdtsldt0(X2,X1))))),inference(fof_nnf,[status(thm)],[18])).
% fof(133, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((X4=sz00|~(doDivides0(X4,X5)))|![X6]:((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))))),inference(variable_rename,[status(thm)],[132])).
% fof(134, plain,![X4]:![X5]:![X6]:((((~(X6=sdtsldt0(X5,X4))|(aNaturalNumber0(X6)&X5=sdtasdt0(X4,X6)))&((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[133])).
% fof(135, plain,![X4]:![X5]:![X6]:(((((aNaturalNumber0(X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((X5=sdtasdt0(X4,X6)|~(X6=sdtsldt0(X5,X4)))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))&((((~(aNaturalNumber0(X6))|~(X5=sdtasdt0(X4,X6)))|X6=sdtsldt0(X5,X4))|(X4=sz00|~(doDivides0(X4,X5))))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))),inference(distribute,[status(thm)],[134])).
% cnf(136,plain,(X2=sz00|X3=sdtsldt0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X1!=sdtasdt0(X2,X3)|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[135])).
% cnf(138,plain,(X2=sz00|aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|~doDivides0(X2,X1)|X3!=sdtsldt0(X1,X2)),inference(split_conjunct,[status(thm)],[135])).
% fof(139, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(doDivides0(X1,X2))|X2=sz00)|sdtlseqdt0(X1,X2))),inference(fof_nnf,[status(thm)],[19])).
% fof(140, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(doDivides0(X3,X4))|X4=sz00)|sdtlseqdt0(X3,X4))),inference(variable_rename,[status(thm)],[139])).
% cnf(141,plain,(sdtlseqdt0(X1,X2)|X2=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[140])).
% fof(153, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|(X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1)))),inference(fof_nnf,[status(thm)],[22])).
% fof(154, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|(X3=sz00|sdtlseqdt0(X4,sdtasdt0(X4,X3)))),inference(variable_rename,[status(thm)],[153])).
% cnf(155,plain,(sdtlseqdt0(X1,sdtasdt0(X1,X2))|X2=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[154])).
% fof(156, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((X1=X2|~(sdtlseqdt0(X1,X2)))|iLess0(X1,X2))),inference(fof_nnf,[status(thm)],[23])).
% fof(157, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((X3=X4|~(sdtlseqdt0(X3,X4)))|iLess0(X3,X4))),inference(variable_rename,[status(thm)],[156])).
% cnf(158,plain,(iLess0(X1,X2)|X1=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[157])).
% fof(164, plain,![X1]:(~(aNaturalNumber0(X1))|(sdtpldt0(X1,sz00)=X1&X1=sdtpldt0(sz00,X1))),inference(fof_nnf,[status(thm)],[25])).
% fof(165, plain,![X2]:(~(aNaturalNumber0(X2))|(sdtpldt0(X2,sz00)=X2&X2=sdtpldt0(sz00,X2))),inference(variable_rename,[status(thm)],[164])).
% fof(166, plain,![X2]:((sdtpldt0(X2,sz00)=X2|~(aNaturalNumber0(X2)))&(X2=sdtpldt0(sz00,X2)|~(aNaturalNumber0(X2)))),inference(distribute,[status(thm)],[165])).
% cnf(167,plain,(X1=sdtpldt0(sz00,X1)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[166])).
% fof(199, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|~(sdtlseqdt0(X2,X1)))|X1=X2)),inference(fof_nnf,[status(thm)],[35])).
% fof(200, plain,![X3]:![X4]:((~(aNaturalNumber0(X3))|~(aNaturalNumber0(X4)))|((~(sdtlseqdt0(X3,X4))|~(sdtlseqdt0(X4,X3)))|X3=X4)),inference(variable_rename,[status(thm)],[199])).
% cnf(201,plain,(X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(split_conjunct,[status(thm)],[200])).
% fof(212, plain,![X1]:![X2]:((~(aNaturalNumber0(X1))|~(aNaturalNumber0(X2)))|((~(sdtlseqdt0(X1,X2))|?[X3]:(aNaturalNumber0(X3)&sdtpldt0(X1,X3)=X2))&(![X3]:(~(aNaturalNumber0(X3))|~(sdtpldt0(X1,X3)=X2))|sdtlseqdt0(X1,X2)))),inference(fof_nnf,[status(thm)],[39])).
% fof(213, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|?[X6]:(aNaturalNumber0(X6)&sdtpldt0(X4,X6)=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(variable_rename,[status(thm)],[212])).
% fof(214, plain,![X4]:![X5]:((~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))|((~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk7_2(X4,X5))&sdtpldt0(X4,esk7_2(X4,X5))=X5))&(![X7]:(~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5)))),inference(skolemize,[status(esa)],[213])).
% fof(215, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))&(~(sdtlseqdt0(X4,X5))|(aNaturalNumber0(esk7_2(X4,X5))&sdtpldt0(X4,esk7_2(X4,X5))=X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))),inference(shift_quantors,[status(thm)],[214])).
% fof(216, plain,![X4]:![X5]:![X7]:((((~(aNaturalNumber0(X7))|~(sdtpldt0(X4,X7)=X5))|sdtlseqdt0(X4,X5))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&(((aNaturalNumber0(esk7_2(X4,X5))|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5))))&((sdtpldt0(X4,esk7_2(X4,X5))=X5|~(sdtlseqdt0(X4,X5)))|(~(aNaturalNumber0(X4))|~(aNaturalNumber0(X5)))))),inference(distribute,[status(thm)],[215])).
% cnf(219,plain,(sdtlseqdt0(X2,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)|sdtpldt0(X2,X3)!=X1|~aNaturalNumber0(X3)),inference(split_conjunct,[status(thm)],[216])).
% fof(235, negated_conjecture,![X1]:((~(aNaturalNumber0(X1))|(![X2]:(~(aNaturalNumber0(X2))|~(xk=sdtasdt0(X1,X2)))&~(doDivides0(X1,xk))))|(((X1=sz00|X1=sz10)|?[X2]:(((aNaturalNumber0(X2)&?[X3]:(aNaturalNumber0(X3)&X1=sdtasdt0(X2,X3)))&doDivides0(X2,X1))&(~(X2=sz10)&~(X2=X1))))&~(isPrime0(X1)))),inference(fof_nnf,[status(thm)],[43])).
% fof(236, negated_conjecture,![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))&~(doDivides0(X4,xk))))|(((X4=sz00|X4=sz10)|?[X6]:(((aNaturalNumber0(X6)&?[X7]:(aNaturalNumber0(X7)&X4=sdtasdt0(X6,X7)))&doDivides0(X6,X4))&(~(X6=sz10)&~(X6=X4))))&~(isPrime0(X4)))),inference(variable_rename,[status(thm)],[235])).
% fof(237, negated_conjecture,![X4]:((~(aNaturalNumber0(X4))|(![X5]:(~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))&~(doDivides0(X4,xk))))|(((X4=sz00|X4=sz10)|(((aNaturalNumber0(esk8_1(X4))&(aNaturalNumber0(esk9_1(X4))&X4=sdtasdt0(esk8_1(X4),esk9_1(X4))))&doDivides0(esk8_1(X4),X4))&(~(esk8_1(X4)=sz10)&~(esk8_1(X4)=X4))))&~(isPrime0(X4)))),inference(skolemize,[status(esa)],[236])).
% fof(238, negated_conjecture,![X4]:![X5]:((((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))&~(doDivides0(X4,xk)))|~(aNaturalNumber0(X4)))|(((X4=sz00|X4=sz10)|(((aNaturalNumber0(esk8_1(X4))&(aNaturalNumber0(esk9_1(X4))&X4=sdtasdt0(esk8_1(X4),esk9_1(X4))))&doDivides0(esk8_1(X4),X4))&(~(esk8_1(X4)=sz10)&~(esk8_1(X4)=X4))))&~(isPrime0(X4)))),inference(shift_quantors,[status(thm)],[237])).
% fof(239, negated_conjecture,![X4]:![X5]:(((((((aNaturalNumber0(esk8_1(X4))|(X4=sz00|X4=sz10))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4))))&(((aNaturalNumber0(esk9_1(X4))|(X4=sz00|X4=sz10))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4))))&((X4=sdtasdt0(esk8_1(X4),esk9_1(X4))|(X4=sz00|X4=sz10))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4))))))&((doDivides0(esk8_1(X4),X4)|(X4=sz00|X4=sz10))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4)))))&(((~(esk8_1(X4)=sz10)|(X4=sz00|X4=sz10))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4))))&((~(esk8_1(X4)=X4)|(X4=sz00|X4=sz10))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4))))))&(~(isPrime0(X4))|((~(aNaturalNumber0(X5))|~(xk=sdtasdt0(X4,X5)))|~(aNaturalNumber0(X4)))))&((((((aNaturalNumber0(esk8_1(X4))|(X4=sz00|X4=sz10))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4))))&(((aNaturalNumber0(esk9_1(X4))|(X4=sz00|X4=sz10))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4))))&((X4=sdtasdt0(esk8_1(X4),esk9_1(X4))|(X4=sz00|X4=sz10))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4))))))&((doDivides0(esk8_1(X4),X4)|(X4=sz00|X4=sz10))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4)))))&(((~(esk8_1(X4)=sz10)|(X4=sz00|X4=sz10))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4))))&((~(esk8_1(X4)=X4)|(X4=sz00|X4=sz10))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4))))))&(~(isPrime0(X4))|(~(doDivides0(X4,xk))|~(aNaturalNumber0(X4)))))),inference(distribute,[status(thm)],[238])).
% cnf(240,negated_conjecture,(~aNaturalNumber0(X1)|~doDivides0(X1,xk)|~isPrime0(X1)),inference(split_conjunct,[status(thm)],[239])).
% cnf(243,negated_conjecture,(X1=sz10|X1=sz00|doDivides0(esk8_1(X1),X1)|~aNaturalNumber0(X1)|~doDivides0(X1,xk)),inference(split_conjunct,[status(thm)],[239])).
% cnf(246,negated_conjecture,(X1=sz10|X1=sz00|aNaturalNumber0(esk8_1(X1))|~aNaturalNumber0(X1)|~doDivides0(X1,xk)),inference(split_conjunct,[status(thm)],[239])).
% cnf(248,negated_conjecture,(X1=sz10|X1=sz00|~aNaturalNumber0(X1)|xk!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|esk8_1(X1)!=X1),inference(split_conjunct,[status(thm)],[239])).
% cnf(249,negated_conjecture,(X1=sz10|X1=sz00|~aNaturalNumber0(X1)|xk!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|esk8_1(X1)!=sz10),inference(split_conjunct,[status(thm)],[239])).
% cnf(250,negated_conjecture,(X1=sz10|X1=sz00|doDivides0(esk8_1(X1),X1)|~aNaturalNumber0(X1)|xk!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[239])).
% cnf(253,negated_conjecture,(X1=sz10|X1=sz00|aNaturalNumber0(esk8_1(X1))|~aNaturalNumber0(X1)|xk!=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)),inference(split_conjunct,[status(thm)],[239])).
% cnf(255,plain,(sdtsldt0(X1,X2)=X3|sz00=X2|sdtasdt0(X2,X3)!=X1|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[136,84])).
% cnf(426,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[84,theory(equality)])).
% cnf(432,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[84,67,theory(equality)])).
% cnf(433,plain,(doDivides0(X1,X2)|sdtasdt0(X3,X1)!=X2|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[84,54,theory(equality)])).
% cnf(447,plain,(doDivides0(X1,X2)|sz00!=X2|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(rw,[status(thm)],[432,46,theory(equality)])).
% cnf(448,plain,(doDivides0(X1,X2)|sz00!=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2)),inference(cn,[status(thm)],[447,theory(equality)])).
% cnf(478,negated_conjecture,(doDivides0(X1,X2)|sz00=X2|sz10=X2|~doDivides0(X1,esk8_1(X2))|~aNaturalNumber0(esk8_1(X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~doDivides0(X2,xk)),inference(spm,[status(thm)],[87,243,theory(equality)])).
% cnf(479,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk5_0)|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[87,123,theory(equality)])).
% cnf(481,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk5_0)|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[479,126,theory(equality)])).
% cnf(482,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk5_0)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[481,100,theory(equality)])).
% cnf(483,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk5_0)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[482,theory(equality)])).
% cnf(488,negated_conjecture,(sz00=X1|sz10=X1|~doDivides0(esk3_1(X1),xk)|~aNaturalNumber0(esk3_1(X1))|~iLess0(X1,xk)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[240,106,theory(equality)])).
% cnf(503,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(sz10)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[62,57,theory(equality)])).
% cnf(505,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[54,57,theory(equality)])).
% cnf(506,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(spm,[status(thm)],[155,57,theory(equality)])).
% cnf(510,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X3)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[51,57,theory(equality)])).
% cnf(518,plain,(sdtasdt0(xk,X1)=sdtasdt0(esk5_0,sdtasdt0(esk6_0,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[57,124,theory(equality)])).
% cnf(520,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[57,66,theory(equality)])).
% cnf(525,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|$false|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[503,48,theory(equality)])).
% cnf(526,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[525,theory(equality)])).
% cnf(529,plain,(sdtasdt0(xk,X1)=sdtasdt0(esk5_0,sdtasdt0(esk6_0,X1))|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[518,125,theory(equality)])).
% cnf(530,plain,(sdtasdt0(xk,X1)=sdtasdt0(esk5_0,sdtasdt0(esk6_0,X1))|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[529,126,theory(equality)])).
% cnf(531,plain,(sdtasdt0(xk,X1)=sdtasdt0(esk5_0,sdtasdt0(esk6_0,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[530,theory(equality)])).
% cnf(534,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[520,46,theory(equality)])).
% cnf(535,plain,(sdtasdt0(sz00,X2)=sdtasdt0(sz00,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[534,theory(equality)])).
% cnf(624,plain,(sz00=esk5_0|X1=esk6_0|sdtasdt0(esk5_0,X1)!=xk|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[73,124,theory(equality)])).
% cnf(641,plain,(sz00=esk5_0|X1=esk6_0|sdtasdt0(esk5_0,X1)!=xk|$false|~aNaturalNumber0(X1)|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[624,125,theory(equality)])).
% cnf(642,plain,(sz00=esk5_0|X1=esk6_0|sdtasdt0(esk5_0,X1)!=xk|$false|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[641,126,theory(equality)])).
% cnf(643,plain,(sz00=esk5_0|X1=esk6_0|sdtasdt0(esk5_0,X1)!=xk|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[642,theory(equality)])).
% cnf(691,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[219,167,theory(equality)])).
% cnf(695,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[691,46,theory(equality)])).
% cnf(696,plain,(sdtlseqdt0(sz00,X1)|X2!=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[695,theory(equality)])).
% cnf(697,plain,(sdtlseqdt0(sz00,X1)|~aNaturalNumber0(X1)),inference(er,[status(thm)],[696,theory(equality)])).
% cnf(782,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(sdtasdt0(X1,X2))),inference(er,[status(thm)],[255,theory(equality)])).
% cnf(1221,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[201,697,theory(equality)])).
% cnf(1223,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[1221,46,theory(equality)])).
% cnf(1224,plain,(X1=sz00|~sdtlseqdt0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1223,theory(equality)])).
% cnf(1252,plain,(sz00=xk|sdtlseqdt0(X1,xk)|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)|~doDivides0(X1,esk5_0)),inference(spm,[status(thm)],[141,483,theory(equality)])).
% cnf(1255,plain,(sz00=xk|sdtlseqdt0(X1,xk)|$false|~aNaturalNumber0(X1)|~doDivides0(X1,esk5_0)),inference(rw,[status(thm)],[1252,100,theory(equality)])).
% cnf(1256,plain,(sz00=xk|sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|~doDivides0(X1,esk5_0)),inference(cn,[status(thm)],[1255,theory(equality)])).
% cnf(1257,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|~doDivides0(X1,esk5_0)),inference(sr,[status(thm)],[1256,116,theory(equality)])).
% cnf(1400,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|sz00!=esk5_0|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[1257,448,theory(equality)])).
% cnf(1422,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|sz00!=esk5_0|$false),inference(rw,[status(thm)],[1400,126,theory(equality)])).
% cnf(1423,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|sz00!=esk5_0),inference(cn,[status(thm)],[1422,theory(equality)])).
% cnf(1526,plain,(xk=X1|~sdtlseqdt0(xk,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|sz00!=esk5_0),inference(spm,[status(thm)],[201,1423,theory(equality)])).
% cnf(1528,plain,(xk=X1|~sdtlseqdt0(xk,X1)|~aNaturalNumber0(X1)|$false|sz00!=esk5_0),inference(rw,[status(thm)],[1526,100,theory(equality)])).
% cnf(1529,plain,(xk=X1|~sdtlseqdt0(xk,X1)|~aNaturalNumber0(X1)|sz00!=esk5_0),inference(cn,[status(thm)],[1528,theory(equality)])).
% cnf(1532,plain,(xk=sdtasdt0(xk,X1)|sz00=X1|sz00!=esk5_0|~aNaturalNumber0(sdtasdt0(xk,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[1529,155,theory(equality)])).
% cnf(1533,plain,(xk=sdtasdt0(xk,X1)|sz00=X1|sz00!=esk5_0|~aNaturalNumber0(sdtasdt0(xk,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1532,100,theory(equality)])).
% cnf(1534,plain,(xk=sdtasdt0(xk,X1)|sz00=X1|sz00!=esk5_0|~aNaturalNumber0(sdtasdt0(xk,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1533,theory(equality)])).
% cnf(1630,plain,(sdtasdt0(xk,X1)=xk|sz00=X1|sz00!=esk5_0|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[1534,51,theory(equality)])).
% cnf(1639,plain,(sdtasdt0(xk,X1)=xk|sz00=X1|sz00!=esk5_0|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[1630,100,theory(equality)])).
% cnf(1640,plain,(sdtasdt0(xk,X1)=xk|sz00=X1|sz00!=esk5_0|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[1639,theory(equality)])).
% cnf(1646,plain,(sz00=X1|xk=X2|xk!=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)|sz00!=esk5_0),inference(spm,[status(thm)],[72,1640,theory(equality)])).
% cnf(1683,plain,(sz00=X1|xk=X2|xk!=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|$false|~aNaturalNumber0(X1)|sz00!=esk5_0),inference(rw,[status(thm)],[1646,100,theory(equality)])).
% cnf(1684,plain,(sz00=X1|xk=X2|xk!=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|sz00!=esk5_0),inference(cn,[status(thm)],[1683,theory(equality)])).
% cnf(2356,plain,(xk=sz10|sz00=X1|X1!=xk|sz00!=esk5_0|~aNaturalNumber0(sz10)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[1684,61,theory(equality)])).
% cnf(2368,plain,(xk=sz10|sz00=X1|X1!=xk|sz00!=esk5_0|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[2356,48,theory(equality)])).
% cnf(2369,plain,(xk=sz10|sz00=X1|X1!=xk|sz00!=esk5_0|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[2368,theory(equality)])).
% cnf(2370,plain,(sz00=X1|X1!=xk|sz00!=esk5_0|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[2369,115,theory(equality)])).
% cnf(2394,plain,(sz00=xk|sz00!=esk5_0),inference(spm,[status(thm)],[2370,100,theory(equality)])).
% cnf(2397,plain,(sz00!=esk5_0),inference(sr,[status(thm)],[2394,116,theory(equality)])).
% cnf(2980,plain,(X1=esk6_0|sdtasdt0(esk5_0,X1)!=xk|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[643,2397,theory(equality)])).
% cnf(2986,plain,(X1=esk6_0|sdtasdt0(X1,esk5_0)!=xk|~aNaturalNumber0(X1)|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[2980,54,theory(equality)])).
% cnf(3001,plain,(X1=esk6_0|sdtasdt0(X1,esk5_0)!=xk|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[2986,126,theory(equality)])).
% cnf(3002,plain,(X1=esk6_0|sdtasdt0(X1,esk5_0)!=xk|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3001,theory(equality)])).
% cnf(3077,plain,(doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[426,51])).
% cnf(3096,plain,(doDivides0(X1,sdtasdt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[3077,54,theory(equality)])).
% cnf(3323,plain,(doDivides0(esk6_0,xk)|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(esk6_0)),inference(spm,[status(thm)],[3096,124,theory(equality)])).
% cnf(3339,plain,(doDivides0(esk6_0,xk)|$false|~aNaturalNumber0(esk6_0)),inference(rw,[status(thm)],[3323,126,theory(equality)])).
% cnf(3340,plain,(doDivides0(esk6_0,xk)|$false|$false),inference(rw,[status(thm)],[3339,125,theory(equality)])).
% cnf(3341,plain,(doDivides0(esk6_0,xk)),inference(cn,[status(thm)],[3340,theory(equality)])).
% cnf(3357,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk6_0)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[87,3341,theory(equality)])).
% cnf(3368,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk6_0)|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[3357,125,theory(equality)])).
% cnf(3369,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk6_0)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[3368,100,theory(equality)])).
% cnf(3370,plain,(doDivides0(X1,xk)|~doDivides0(X1,esk6_0)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3369,theory(equality)])).
% cnf(3513,plain,(sz00=xk|sdtlseqdt0(X1,xk)|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)|~doDivides0(X1,esk6_0)),inference(spm,[status(thm)],[141,3370,theory(equality)])).
% cnf(3519,plain,(sz00=xk|sdtlseqdt0(X1,xk)|$false|~aNaturalNumber0(X1)|~doDivides0(X1,esk6_0)),inference(rw,[status(thm)],[3513,100,theory(equality)])).
% cnf(3520,plain,(sz00=xk|sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|~doDivides0(X1,esk6_0)),inference(cn,[status(thm)],[3519,theory(equality)])).
% cnf(3521,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|~doDivides0(X1,esk6_0)),inference(sr,[status(thm)],[3520,116,theory(equality)])).
% cnf(3538,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|sz00!=esk6_0|~aNaturalNumber0(esk6_0)),inference(spm,[status(thm)],[3521,448,theory(equality)])).
% cnf(3573,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|sz00!=esk6_0|$false),inference(rw,[status(thm)],[3538,125,theory(equality)])).
% cnf(3574,plain,(sdtlseqdt0(X1,xk)|~aNaturalNumber0(X1)|sz00!=esk6_0),inference(cn,[status(thm)],[3573,theory(equality)])).
% cnf(3590,plain,(xk=X1|~sdtlseqdt0(xk,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)|sz00!=esk6_0),inference(spm,[status(thm)],[201,3574,theory(equality)])).
% cnf(3592,plain,(xk=X1|~sdtlseqdt0(xk,X1)|~aNaturalNumber0(X1)|$false|sz00!=esk6_0),inference(rw,[status(thm)],[3590,100,theory(equality)])).
% cnf(3593,plain,(xk=X1|~sdtlseqdt0(xk,X1)|~aNaturalNumber0(X1)|sz00!=esk6_0),inference(cn,[status(thm)],[3592,theory(equality)])).
% cnf(3596,plain,(xk=sdtasdt0(xk,X1)|sz00=X1|sz00!=esk6_0|~aNaturalNumber0(sdtasdt0(xk,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[3593,155,theory(equality)])).
% cnf(3599,plain,(xk=sdtasdt0(xk,X1)|sz00=X1|sz00!=esk6_0|~aNaturalNumber0(sdtasdt0(xk,X1))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[3596,100,theory(equality)])).
% cnf(3600,plain,(xk=sdtasdt0(xk,X1)|sz00=X1|sz00!=esk6_0|~aNaturalNumber0(sdtasdt0(xk,X1))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3599,theory(equality)])).
% cnf(3611,plain,(sdtasdt0(xk,X1)=xk|sz00=X1|sz00!=esk6_0|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[3600,51,theory(equality)])).
% cnf(3620,plain,(sdtasdt0(xk,X1)=xk|sz00=X1|sz00!=esk6_0|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[3611,100,theory(equality)])).
% cnf(3621,plain,(sdtasdt0(xk,X1)=xk|sz00=X1|sz00!=esk6_0|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[3620,theory(equality)])).
% cnf(3623,plain,(xk=esk6_0|sz00=esk5_0|~aNaturalNumber0(xk)|sz00!=esk6_0|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[3002,3621,theory(equality)])).
% cnf(3664,plain,(xk=esk6_0|sz00=esk5_0|$false|sz00!=esk6_0|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[3623,100,theory(equality)])).
% cnf(3665,plain,(xk=esk6_0|sz00=esk5_0|$false|sz00!=esk6_0|$false),inference(rw,[status(thm)],[3664,126,theory(equality)])).
% cnf(3666,plain,(xk=esk6_0|sz00=esk5_0|sz00!=esk6_0),inference(cn,[status(thm)],[3665,theory(equality)])).
% cnf(3667,plain,(xk=esk6_0|sz00!=esk6_0),inference(sr,[status(thm)],[3666,2397,theory(equality)])).
% cnf(3764,plain,(esk6_0!=sz00),inference(spm,[status(thm)],[116,3667,theory(equality)])).
% cnf(4035,negated_conjecture,(sz00=X2|sz10=X2|doDivides0(X1,X2)|~doDivides0(X1,esk8_1(X2))|~doDivides0(X2,xk)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[478,246])).
% cnf(4036,negated_conjecture,(sz10=X2|doDivides0(X1,X2)|~doDivides0(X1,esk8_1(X2))|~doDivides0(X2,xk)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[4035,448])).
% cnf(4043,negated_conjecture,(sz10=X1|doDivides0(esk3_1(esk8_1(X1)),X1)|sz00=esk8_1(X1)|sz10=esk8_1(X1)|~doDivides0(X1,xk)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk3_1(esk8_1(X1)))|~iLess0(esk8_1(X1),xk)|~aNaturalNumber0(esk8_1(X1))),inference(spm,[status(thm)],[4036,109,theory(equality)])).
% cnf(4268,negated_conjecture,(sz00=X1|sz10=X1|~iLess0(X1,xk)|~doDivides0(esk3_1(X1),xk)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[488,112])).
% cnf(4422,plain,(sdtasdt0(X1,sdtasdt0(X2,sz10))=sdtasdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[526,51])).
% cnf(4641,plain,(sdtasdt0(X1,sdtasdt0(X2,X3))=sdtasdt0(X2,sdtasdt0(X3,X1))|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)),inference(csr,[status(thm)],[505,51])).
% cnf(4993,plain,(sz00=X1|sdtlseqdt0(sdtasdt0(X2,X3),sdtasdt0(X2,sdtasdt0(X3,X1)))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[506,51])).
% cnf(5000,plain,(sz00=esk6_0|sdtlseqdt0(sdtasdt0(X1,esk5_0),sdtasdt0(X1,xk))|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[4993,124,theory(equality)])).
% cnf(5054,plain,(sz00=esk6_0|sdtlseqdt0(sdtasdt0(X1,esk5_0),sdtasdt0(X1,xk))|$false|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[5000,125,theory(equality)])).
% cnf(5055,plain,(sz00=esk6_0|sdtlseqdt0(sdtasdt0(X1,esk5_0),sdtasdt0(X1,xk))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[5054,126,theory(equality)])).
% cnf(5056,plain,(sz00=esk6_0|sdtlseqdt0(sdtasdt0(X1,esk5_0),sdtasdt0(X1,xk))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5055,theory(equality)])).
% cnf(5057,plain,(sdtlseqdt0(sdtasdt0(X1,esk5_0),sdtasdt0(X1,xk))|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[5056,3764,theory(equality)])).
% cnf(5118,plain,(sdtlseqdt0(sdtasdt0(sz00,esk5_0),sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[5057,66,theory(equality)])).
% cnf(5140,plain,(sdtlseqdt0(sdtasdt0(sz00,esk5_0),sz00)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[5118,46,theory(equality)])).
% cnf(5141,plain,(sdtlseqdt0(sdtasdt0(sz00,esk5_0),sz00)|$false|$false),inference(rw,[status(thm)],[5140,100,theory(equality)])).
% cnf(5142,plain,(sdtlseqdt0(sdtasdt0(sz00,esk5_0),sz00)),inference(cn,[status(thm)],[5141,theory(equality)])).
% cnf(5271,plain,(sdtasdt0(sz00,esk5_0)=sz00|~aNaturalNumber0(sdtasdt0(sz00,esk5_0))),inference(spm,[status(thm)],[1224,5142,theory(equality)])).
% cnf(5312,plain,(sdtasdt0(sz00,esk5_0)=sz00|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[5271,51,theory(equality)])).
% cnf(5319,plain,(sdtasdt0(sz00,esk5_0)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[5312,126,theory(equality)])).
% cnf(5320,plain,(sdtasdt0(sz00,esk5_0)=sz00|$false|$false),inference(rw,[status(thm)],[5319,46,theory(equality)])).
% cnf(5321,plain,(sdtasdt0(sz00,esk5_0)=sz00),inference(cn,[status(thm)],[5320,theory(equality)])).
% cnf(5322,plain,(sdtasdt0(esk5_0,sz00)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[54,5321,theory(equality)])).
% cnf(5358,plain,(sdtasdt0(esk5_0,sz00)=sz00|$false|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[5322,46,theory(equality)])).
% cnf(5359,plain,(sdtasdt0(esk5_0,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[5358,126,theory(equality)])).
% cnf(5360,plain,(sdtasdt0(esk5_0,sz00)=sz00),inference(cn,[status(thm)],[5359,theory(equality)])).
% cnf(5757,plain,(aNaturalNumber0(sdtasdt0(X1,sdtasdt0(X2,X3)))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3)),inference(csr,[status(thm)],[510,51])).
% cnf(5771,plain,(aNaturalNumber0(sdtasdt0(X1,xk))|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[5757,124,theory(equality)])).
% cnf(5807,plain,(aNaturalNumber0(sdtasdt0(X1,xk))|$false|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[5771,125,theory(equality)])).
% cnf(5808,plain,(aNaturalNumber0(sdtasdt0(X1,xk))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[5807,126,theory(equality)])).
% cnf(5809,plain,(aNaturalNumber0(sdtasdt0(X1,xk))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[5808,theory(equality)])).
% cnf(7010,plain,(sdtasdt0(xk,sz10)=sdtasdt0(esk5_0,esk6_0)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[4422,531,theory(equality)])).
% cnf(7020,plain,(sdtasdt0(X1,sdtasdt0(esk5_0,esk6_0))=sdtasdt0(xk,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[4641,531,theory(equality)])).
% cnf(7035,plain,(sdtasdt0(esk5_0,sz00)=sdtasdt0(xk,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk6_0)),inference(spm,[status(thm)],[531,67,theory(equality)])).
% cnf(7150,plain,(sdtasdt0(xk,sz10)=xk|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7010,124,theory(equality)])).
% cnf(7151,plain,(sdtasdt0(xk,sz10)=xk|$false|~aNaturalNumber0(esk5_0)|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7150,125,theory(equality)])).
% cnf(7152,plain,(sdtasdt0(xk,sz10)=xk|$false|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7151,126,theory(equality)])).
% cnf(7153,plain,(sdtasdt0(xk,sz10)=xk|$false|$false|$false),inference(rw,[status(thm)],[7152,48,theory(equality)])).
% cnf(7154,plain,(sdtasdt0(xk,sz10)=xk),inference(cn,[status(thm)],[7153,theory(equality)])).
% cnf(7208,plain,(sdtasdt0(X1,xk)=sdtasdt0(xk,X1)|~aNaturalNumber0(X1)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[7020,124,theory(equality)])).
% cnf(7209,plain,(sdtasdt0(X1,xk)=sdtasdt0(xk,X1)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[7208,125,theory(equality)])).
% cnf(7210,plain,(sdtasdt0(X1,xk)=sdtasdt0(xk,X1)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[7209,126,theory(equality)])).
% cnf(7211,plain,(sdtasdt0(X1,xk)=sdtasdt0(xk,X1)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7210,theory(equality)])).
% cnf(7244,plain,(sz00=sdtasdt0(xk,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk6_0)),inference(rw,[status(thm)],[7035,5360,theory(equality)])).
% cnf(7245,plain,(sz00=sdtasdt0(xk,sz00)|$false|~aNaturalNumber0(esk6_0)),inference(rw,[status(thm)],[7244,46,theory(equality)])).
% cnf(7246,plain,(sz00=sdtasdt0(xk,sz00)|$false|$false),inference(rw,[status(thm)],[7245,125,theory(equality)])).
% cnf(7247,plain,(sz00=sdtasdt0(xk,sz00)),inference(cn,[status(thm)],[7246,theory(equality)])).
% cnf(7252,plain,(sdtasdt0(sz00,xk)=sz00|~aNaturalNumber0(xk)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[54,7247,theory(equality)])).
% cnf(7282,plain,(sdtasdt0(sz00,sdtasdt0(X1,xk))=sdtasdt0(X1,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[4641,7247,theory(equality)])).
% cnf(7294,plain,(sdtasdt0(sz00,xk)=sz00|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[7252,100,theory(equality)])).
% cnf(7295,plain,(sdtasdt0(sz00,xk)=sz00|$false|$false),inference(rw,[status(thm)],[7294,46,theory(equality)])).
% cnf(7296,plain,(sdtasdt0(sz00,xk)=sz00),inference(cn,[status(thm)],[7295,theory(equality)])).
% cnf(7390,plain,(sdtasdt0(sz00,sdtasdt0(X1,xk))=sdtasdt0(X1,sz00)|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7282,46,theory(equality)])).
% cnf(7391,plain,(sdtasdt0(sz00,sdtasdt0(X1,xk))=sdtasdt0(X1,sz00)|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[7390,100,theory(equality)])).
% cnf(7392,plain,(sdtasdt0(sz00,sdtasdt0(X1,xk))=sdtasdt0(X1,sz00)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7391,theory(equality)])).
% cnf(7424,plain,(sz00=xk|sz00=X1|sz00!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz00)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[72,7296,theory(equality)])).
% cnf(7470,plain,(sz00=xk|sz00=X1|sz00!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[7424,46,theory(equality)])).
% cnf(7471,plain,(sz00=xk|sz00=X1|sz00!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[7470,100,theory(equality)])).
% cnf(7472,plain,(sz00=xk|sz00=X1|sz00!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[7471,theory(equality)])).
% cnf(7473,plain,(sz00=X1|sdtasdt0(X1,xk)!=sz00|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[7472,116,theory(equality)])).
% cnf(7612,plain,(sdtasdt0(sz10,xk)=xk|~aNaturalNumber0(xk)|~aNaturalNumber0(sz10)),inference(spm,[status(thm)],[54,7154,theory(equality)])).
% cnf(7621,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=sz10|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[249,7154,theory(equality)])).
% cnf(7622,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=xk|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[248,7154,theory(equality)])).
% cnf(7623,negated_conjecture,(sz00=xk|sz10=xk|aNaturalNumber0(esk8_1(xk))|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[253,7154,theory(equality)])).
% cnf(7625,negated_conjecture,(sz00=xk|sz10=xk|doDivides0(esk8_1(xk),xk)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[250,7154,theory(equality)])).
% cnf(7634,plain,(doDivides0(xk,xk)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[3077,7154,theory(equality)])).
% cnf(7660,plain,(sdtasdt0(sz10,xk)=xk|$false|~aNaturalNumber0(sz10)),inference(rw,[status(thm)],[7612,100,theory(equality)])).
% cnf(7661,plain,(sdtasdt0(sz10,xk)=xk|$false|$false),inference(rw,[status(thm)],[7660,48,theory(equality)])).
% cnf(7662,plain,(sdtasdt0(sz10,xk)=xk),inference(cn,[status(thm)],[7661,theory(equality)])).
% cnf(7691,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=sz10|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[7621,48,theory(equality)])).
% cnf(7692,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=sz10|$false|$false),inference(rw,[status(thm)],[7691,100,theory(equality)])).
% cnf(7693,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=sz10),inference(cn,[status(thm)],[7692,theory(equality)])).
% cnf(7694,negated_conjecture,(xk=sz10|esk8_1(xk)!=sz10),inference(sr,[status(thm)],[7693,116,theory(equality)])).
% cnf(7695,negated_conjecture,(esk8_1(xk)!=sz10),inference(sr,[status(thm)],[7694,115,theory(equality)])).
% cnf(7696,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=xk|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[7622,48,theory(equality)])).
% cnf(7697,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=xk|$false|$false),inference(rw,[status(thm)],[7696,100,theory(equality)])).
% cnf(7698,negated_conjecture,(sz00=xk|sz10=xk|esk8_1(xk)!=xk),inference(cn,[status(thm)],[7697,theory(equality)])).
% cnf(7699,negated_conjecture,(xk=sz10|esk8_1(xk)!=xk),inference(sr,[status(thm)],[7698,116,theory(equality)])).
% cnf(7700,negated_conjecture,(esk8_1(xk)!=xk),inference(sr,[status(thm)],[7699,115,theory(equality)])).
% cnf(7701,negated_conjecture,(sz00=xk|sz10=xk|aNaturalNumber0(esk8_1(xk))|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[7623,48,theory(equality)])).
% cnf(7702,negated_conjecture,(sz00=xk|sz10=xk|aNaturalNumber0(esk8_1(xk))|$false|$false),inference(rw,[status(thm)],[7701,100,theory(equality)])).
% cnf(7703,negated_conjecture,(sz00=xk|sz10=xk|aNaturalNumber0(esk8_1(xk))),inference(cn,[status(thm)],[7702,theory(equality)])).
% cnf(7704,negated_conjecture,(xk=sz10|aNaturalNumber0(esk8_1(xk))),inference(sr,[status(thm)],[7703,116,theory(equality)])).
% cnf(7705,negated_conjecture,(aNaturalNumber0(esk8_1(xk))),inference(sr,[status(thm)],[7704,115,theory(equality)])).
% cnf(7711,negated_conjecture,(sz00=xk|sz10=xk|doDivides0(esk8_1(xk),xk)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[7625,48,theory(equality)])).
% cnf(7712,negated_conjecture,(sz00=xk|sz10=xk|doDivides0(esk8_1(xk),xk)|$false|$false),inference(rw,[status(thm)],[7711,100,theory(equality)])).
% cnf(7713,negated_conjecture,(sz00=xk|sz10=xk|doDivides0(esk8_1(xk),xk)),inference(cn,[status(thm)],[7712,theory(equality)])).
% cnf(7714,negated_conjecture,(xk=sz10|doDivides0(esk8_1(xk),xk)),inference(sr,[status(thm)],[7713,116,theory(equality)])).
% cnf(7715,negated_conjecture,(doDivides0(esk8_1(xk),xk)),inference(sr,[status(thm)],[7714,115,theory(equality)])).
% cnf(7745,plain,(doDivides0(xk,xk)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[7634,48,theory(equality)])).
% cnf(7746,plain,(doDivides0(xk,xk)|$false|$false),inference(rw,[status(thm)],[7745,100,theory(equality)])).
% cnf(7747,plain,(doDivides0(xk,xk)),inference(cn,[status(thm)],[7746,theory(equality)])).
% cnf(8102,negated_conjecture,(sz00=xk|sdtlseqdt0(esk8_1(xk),xk)|~aNaturalNumber0(xk)|~aNaturalNumber0(esk8_1(xk))),inference(spm,[status(thm)],[141,7715,theory(equality)])).
% cnf(8104,negated_conjecture,(doDivides0(X1,xk)|~doDivides0(X1,esk8_1(xk))|~aNaturalNumber0(esk8_1(xk))|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[87,7715,theory(equality)])).
% cnf(8110,negated_conjecture,(sz00=xk|sdtlseqdt0(esk8_1(xk),xk)|$false|~aNaturalNumber0(esk8_1(xk))),inference(rw,[status(thm)],[8102,100,theory(equality)])).
% cnf(8111,negated_conjecture,(sz00=xk|sdtlseqdt0(esk8_1(xk),xk)|$false|$false),inference(rw,[status(thm)],[8110,7705,theory(equality)])).
% cnf(8112,negated_conjecture,(sz00=xk|sdtlseqdt0(esk8_1(xk),xk)),inference(cn,[status(thm)],[8111,theory(equality)])).
% cnf(8113,negated_conjecture,(sdtlseqdt0(esk8_1(xk),xk)),inference(sr,[status(thm)],[8112,116,theory(equality)])).
% cnf(8119,negated_conjecture,(doDivides0(X1,xk)|~doDivides0(X1,esk8_1(xk))|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[8104,7705,theory(equality)])).
% cnf(8120,negated_conjecture,(doDivides0(X1,xk)|~doDivides0(X1,esk8_1(xk))|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[8119,100,theory(equality)])).
% cnf(8121,negated_conjecture,(doDivides0(X1,xk)|~doDivides0(X1,esk8_1(xk))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8120,theory(equality)])).
% cnf(8227,plain,(sdtasdt0(sz00,xk)=sdtasdt0(sz00,esk6_0)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)),inference(spm,[status(thm)],[535,124,theory(equality)])).
% cnf(8362,plain,(sz00=sdtasdt0(sz00,esk6_0)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[8227,7296,theory(equality)])).
% cnf(8363,plain,(sz00=sdtasdt0(sz00,esk6_0)|$false|~aNaturalNumber0(esk5_0)),inference(rw,[status(thm)],[8362,125,theory(equality)])).
% cnf(8364,plain,(sz00=sdtasdt0(sz00,esk6_0)|$false|$false),inference(rw,[status(thm)],[8363,126,theory(equality)])).
% cnf(8365,plain,(sz00=sdtasdt0(sz00,esk6_0)),inference(cn,[status(thm)],[8364,theory(equality)])).
% cnf(8546,plain,(sz00=xk|sz10=X1|xk!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)|~aNaturalNumber0(sz10)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[72,7662,theory(equality)])).
% cnf(8598,plain,(sz00=xk|sz10=X1|xk!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[8546,48,theory(equality)])).
% cnf(8599,plain,(sz00=xk|sz10=X1|xk!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)|$false|$false),inference(rw,[status(thm)],[8598,100,theory(equality)])).
% cnf(8600,plain,(sz00=xk|sz10=X1|xk!=sdtasdt0(X1,xk)|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[8599,theory(equality)])).
% cnf(8601,plain,(sz10=X1|sdtasdt0(X1,xk)!=xk|~aNaturalNumber0(X1)),inference(sr,[status(thm)],[8600,116,theory(equality)])).
% cnf(10295,plain,(sdtasdt0(esk6_0,sz00)=sz00|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk6_0)),inference(spm,[status(thm)],[54,8365,theory(equality)])).
% cnf(10303,plain,(doDivides0(esk6_0,sz00)|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk6_0)),inference(spm,[status(thm)],[3096,8365,theory(equality)])).
% cnf(10341,plain,(sdtasdt0(esk6_0,sz00)=sz00|$false|~aNaturalNumber0(esk6_0)),inference(rw,[status(thm)],[10295,46,theory(equality)])).
% cnf(10342,plain,(sdtasdt0(esk6_0,sz00)=sz00|$false|$false),inference(rw,[status(thm)],[10341,125,theory(equality)])).
% cnf(10343,plain,(sdtasdt0(esk6_0,sz00)=sz00),inference(cn,[status(thm)],[10342,theory(equality)])).
% cnf(10372,plain,(doDivides0(esk6_0,sz00)|$false|~aNaturalNumber0(esk6_0)),inference(rw,[status(thm)],[10303,46,theory(equality)])).
% cnf(10373,plain,(doDivides0(esk6_0,sz00)|$false|$false),inference(rw,[status(thm)],[10372,125,theory(equality)])).
% cnf(10374,plain,(doDivides0(esk6_0,sz00)),inference(cn,[status(thm)],[10373,theory(equality)])).
% cnf(25099,plain,(sz00=xk|sdtasdt0(xk,xk)!=sz00|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[7473,7211,theory(equality)])).
% cnf(25100,plain,(sz10=xk|sdtasdt0(xk,xk)!=xk|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[8601,7211,theory(equality)])).
% cnf(25101,plain,(aNaturalNumber0(sdtasdt0(xk,xk))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[5809,7211,theory(equality)])).
% cnf(25102,plain,(sdtasdt0(sz00,sdtasdt0(xk,xk))=sdtasdt0(xk,sz00)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[7392,7211,theory(equality)])).
% cnf(25147,plain,(doDivides0(xk,sdtasdt0(X1,xk))|~aNaturalNumber0(X1)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[3077,7211,theory(equality)])).
% cnf(25321,plain,(sz00=xk|sdtasdt0(xk,xk)!=sz00|$false),inference(rw,[status(thm)],[25099,100,theory(equality)])).
% cnf(25322,plain,(sz00=xk|sdtasdt0(xk,xk)!=sz00),inference(cn,[status(thm)],[25321,theory(equality)])).
% cnf(25323,plain,(sdtasdt0(xk,xk)!=sz00),inference(sr,[status(thm)],[25322,116,theory(equality)])).
% cnf(25324,plain,(sz10=xk|sdtasdt0(xk,xk)!=xk|$false),inference(rw,[status(thm)],[25100,100,theory(equality)])).
% cnf(25325,plain,(sz10=xk|sdtasdt0(xk,xk)!=xk),inference(cn,[status(thm)],[25324,theory(equality)])).
% cnf(25326,plain,(sdtasdt0(xk,xk)!=xk),inference(sr,[status(thm)],[25325,115,theory(equality)])).
% cnf(25327,plain,(aNaturalNumber0(sdtasdt0(xk,xk))|$false),inference(rw,[status(thm)],[25101,100,theory(equality)])).
% cnf(25328,plain,(aNaturalNumber0(sdtasdt0(xk,xk))),inference(cn,[status(thm)],[25327,theory(equality)])).
% cnf(25329,plain,(sdtasdt0(sz00,sdtasdt0(xk,xk))=sz00|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[25102,7247,theory(equality)])).
% cnf(25330,plain,(sdtasdt0(sz00,sdtasdt0(xk,xk))=sz00|$false),inference(rw,[status(thm)],[25329,100,theory(equality)])).
% cnf(25331,plain,(sdtasdt0(sz00,sdtasdt0(xk,xk))=sz00),inference(cn,[status(thm)],[25330,theory(equality)])).
% cnf(25464,plain,(doDivides0(xk,sdtasdt0(X1,xk))|~aNaturalNumber0(X1)|$false),inference(rw,[status(thm)],[25147,100,theory(equality)])).
% cnf(25465,plain,(doDivides0(xk,sdtasdt0(X1,xk))|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[25464,theory(equality)])).
% cnf(25899,plain,(doDivides0(sdtasdt0(xk,xk),X1)|sz00!=X1|~aNaturalNumber0(sz00)|~aNaturalNumber0(sdtasdt0(xk,xk))|~aNaturalNumber0(X1)),inference(spm,[status(thm)],[433,25331,theory(equality)])).
% cnf(26073,plain,(doDivides0(sdtasdt0(xk,xk),X1)|sz00!=X1|$false|~aNaturalNumber0(sdtasdt0(xk,xk))|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[25899,46,theory(equality)])).
% cnf(26074,plain,(doDivides0(sdtasdt0(xk,xk),X1)|sz00!=X1|$false|$false|~aNaturalNumber0(X1)),inference(rw,[status(thm)],[26073,25328,theory(equality)])).
% cnf(26075,plain,(doDivides0(sdtasdt0(xk,xk),X1)|sz00!=X1|~aNaturalNumber0(X1)),inference(cn,[status(thm)],[26074,theory(equality)])).
% cnf(26660,plain,(sdtsldt0(sdtasdt0(X1,X2),X1)=X2|sz00=X1|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[782,51])).
% cnf(26683,plain,(sdtsldt0(sz00,esk6_0)=sz00|sz00=esk6_0|~aNaturalNumber0(sz00)|~aNaturalNumber0(esk6_0)),inference(spm,[status(thm)],[26660,10343,theory(equality)])).
% cnf(26762,plain,(sdtsldt0(sz00,esk6_0)=sz00|sz00=esk6_0|$false|~aNaturalNumber0(esk6_0)),inference(rw,[status(thm)],[26683,46,theory(equality)])).
% cnf(26763,plain,(sdtsldt0(sz00,esk6_0)=sz00|sz00=esk6_0|$false|$false),inference(rw,[status(thm)],[26762,125,theory(equality)])).
% cnf(26764,plain,(sdtsldt0(sz00,esk6_0)=sz00|sz00=esk6_0),inference(cn,[status(thm)],[26763,theory(equality)])).
% cnf(26765,plain,(sdtsldt0(sz00,esk6_0)=sz00),inference(sr,[status(thm)],[26764,3764,theory(equality)])).
% cnf(26886,plain,(doDivides0(xk,sdtasdt0(xk,xk))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[25465,7211,theory(equality)])).
% cnf(26938,plain,(doDivides0(xk,sdtasdt0(xk,xk))|$false),inference(rw,[status(thm)],[26886,100,theory(equality)])).
% cnf(26939,plain,(doDivides0(xk,sdtasdt0(xk,xk))),inference(cn,[status(thm)],[26938,theory(equality)])).
% cnf(26965,plain,(sz00=esk6_0|aNaturalNumber0(X1)|sz00!=X1|~doDivides0(esk6_0,sz00)|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(sz00)),inference(spm,[status(thm)],[138,26765,theory(equality)])).
% cnf(26969,plain,(sz00=esk6_0|aNaturalNumber0(X1)|sz00!=X1|$false|~aNaturalNumber0(esk6_0)|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[26965,10374,theory(equality)])).
% cnf(26970,plain,(sz00=esk6_0|aNaturalNumber0(X1)|sz00!=X1|$false|$false|~aNaturalNumber0(sz00)),inference(rw,[status(thm)],[26969,125,theory(equality)])).
% cnf(26971,plain,(sz00=esk6_0|aNaturalNumber0(X1)|sz00!=X1|$false|$false|$false),inference(rw,[status(thm)],[26970,46,theory(equality)])).
% cnf(26972,plain,(sz00=esk6_0|aNaturalNumber0(X1)|sz00!=X1),inference(cn,[status(thm)],[26971,theory(equality)])).
% cnf(26973,plain,(aNaturalNumber0(X1)|sz00!=X1),inference(sr,[status(thm)],[26972,3764,theory(equality)])).
% cnf(27032,plain,(sz00=sdtasdt0(xk,xk)|sdtlseqdt0(xk,sdtasdt0(xk,xk))|~aNaturalNumber0(sdtasdt0(xk,xk))|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[141,26939,theory(equality)])).
% cnf(27054,plain,(sz00=sdtasdt0(xk,xk)|sdtlseqdt0(xk,sdtasdt0(xk,xk))|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[27032,25328,theory(equality)])).
% cnf(27055,plain,(sz00=sdtasdt0(xk,xk)|sdtlseqdt0(xk,sdtasdt0(xk,xk))|$false|$false),inference(rw,[status(thm)],[27054,100,theory(equality)])).
% cnf(27056,plain,(sz00=sdtasdt0(xk,xk)|sdtlseqdt0(xk,sdtasdt0(xk,xk))),inference(cn,[status(thm)],[27055,theory(equality)])).
% cnf(27057,plain,(sdtlseqdt0(xk,sdtasdt0(xk,xk))),inference(sr,[status(thm)],[27056,25323,theory(equality)])).
% cnf(27122,plain,(sdtasdt0(xk,xk)=xk|~sdtlseqdt0(sdtasdt0(xk,xk),xk)|~aNaturalNumber0(xk)|~aNaturalNumber0(sdtasdt0(xk,xk))),inference(spm,[status(thm)],[201,27057,theory(equality)])).
% cnf(27138,plain,(sdtasdt0(xk,xk)=xk|~sdtlseqdt0(sdtasdt0(xk,xk),xk)|$false|~aNaturalNumber0(sdtasdt0(xk,xk))),inference(rw,[status(thm)],[27122,100,theory(equality)])).
% cnf(27139,plain,(sdtasdt0(xk,xk)=xk|~sdtlseqdt0(sdtasdt0(xk,xk),xk)|$false|$false),inference(rw,[status(thm)],[27138,25328,theory(equality)])).
% cnf(27140,plain,(sdtasdt0(xk,xk)=xk|~sdtlseqdt0(sdtasdt0(xk,xk),xk)),inference(cn,[status(thm)],[27139,theory(equality)])).
% cnf(27141,plain,(~sdtlseqdt0(sdtasdt0(xk,xk),xk)),inference(sr,[status(thm)],[27140,25326,theory(equality)])).
% cnf(65342,plain,(doDivides0(sdtasdt0(xk,xk),X1)|sz00!=X1),inference(csr,[status(thm)],[26075,26973])).
% cnf(65346,negated_conjecture,(doDivides0(sdtasdt0(xk,xk),xk)|~aNaturalNumber0(sdtasdt0(xk,xk))|sz00!=esk8_1(xk)),inference(spm,[status(thm)],[8121,65342,theory(equality)])).
% cnf(65396,negated_conjecture,(doDivides0(sdtasdt0(xk,xk),xk)|$false|sz00!=esk8_1(xk)),inference(rw,[status(thm)],[65346,25328,theory(equality)])).
% cnf(65397,negated_conjecture,(doDivides0(sdtasdt0(xk,xk),xk)|sz00!=esk8_1(xk)),inference(cn,[status(thm)],[65396,theory(equality)])).
% cnf(65487,negated_conjecture,(sz00=xk|sdtlseqdt0(sdtasdt0(xk,xk),xk)|~aNaturalNumber0(xk)|~aNaturalNumber0(sdtasdt0(xk,xk))|esk8_1(xk)!=sz00),inference(spm,[status(thm)],[141,65397,theory(equality)])).
% cnf(65515,negated_conjecture,(sz00=xk|sdtlseqdt0(sdtasdt0(xk,xk),xk)|$false|~aNaturalNumber0(sdtasdt0(xk,xk))|esk8_1(xk)!=sz00),inference(rw,[status(thm)],[65487,100,theory(equality)])).
% cnf(65516,negated_conjecture,(sz00=xk|sdtlseqdt0(sdtasdt0(xk,xk),xk)|$false|$false|esk8_1(xk)!=sz00),inference(rw,[status(thm)],[65515,25328,theory(equality)])).
% cnf(65517,negated_conjecture,(sz00=xk|sdtlseqdt0(sdtasdt0(xk,xk),xk)|esk8_1(xk)!=sz00),inference(cn,[status(thm)],[65516,theory(equality)])).
% cnf(65518,negated_conjecture,(sdtlseqdt0(sdtasdt0(xk,xk),xk)|esk8_1(xk)!=sz00),inference(sr,[status(thm)],[65517,116,theory(equality)])).
% cnf(65519,negated_conjecture,(esk8_1(xk)!=sz00),inference(sr,[status(thm)],[65518,27141,theory(equality)])).
% cnf(231159,negated_conjecture,(esk8_1(X1)=sz00|esk8_1(X1)=sz10|sz10=X1|doDivides0(esk3_1(esk8_1(X1)),X1)|~iLess0(esk8_1(X1),xk)|~doDivides0(X1,xk)|~aNaturalNumber0(esk8_1(X1))|~aNaturalNumber0(X1)),inference(csr,[status(thm)],[4043,112])).
% cnf(231224,negated_conjecture,(sz10=esk8_1(xk)|sz00=esk8_1(xk)|sz10=xk|~iLess0(esk8_1(xk),xk)|~aNaturalNumber0(esk8_1(xk))|~doDivides0(xk,xk)|~aNaturalNumber0(xk)),inference(spm,[status(thm)],[4268,231159,theory(equality)])).
% cnf(231440,negated_conjecture,(sz10=esk8_1(xk)|sz00=esk8_1(xk)|sz10=xk|~iLess0(esk8_1(xk),xk)|$false|~doDivides0(xk,xk)|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[231224,7705,theory(equality)])).
% cnf(231441,negated_conjecture,(sz10=esk8_1(xk)|sz00=esk8_1(xk)|sz10=xk|~iLess0(esk8_1(xk),xk)|$false|$false|~aNaturalNumber0(xk)),inference(rw,[status(thm)],[231440,7747,theory(equality)])).
% cnf(231442,negated_conjecture,(sz10=esk8_1(xk)|sz00=esk8_1(xk)|sz10=xk|~iLess0(esk8_1(xk),xk)|$false|$false|$false),inference(rw,[status(thm)],[231441,100,theory(equality)])).
% cnf(231443,negated_conjecture,(sz10=esk8_1(xk)|sz00=esk8_1(xk)|sz10=xk|~iLess0(esk8_1(xk),xk)),inference(cn,[status(thm)],[231442,theory(equality)])).
% cnf(231444,negated_conjecture,(esk8_1(xk)=sz00|xk=sz10|~iLess0(esk8_1(xk),xk)),inference(sr,[status(thm)],[231443,7695,theory(equality)])).
% cnf(231445,negated_conjecture,(xk=sz10|~iLess0(esk8_1(xk),xk)),inference(sr,[status(thm)],[231444,65519,theory(equality)])).
% cnf(231446,negated_conjecture,(~iLess0(esk8_1(xk),xk)),inference(sr,[status(thm)],[231445,115,theory(equality)])).
% cnf(231449,negated_conjecture,(esk8_1(xk)=xk|~sdtlseqdt0(esk8_1(xk),xk)|~aNaturalNumber0(xk)|~aNaturalNumber0(esk8_1(xk))),inference(spm,[status(thm)],[231446,158,theory(equality)])).
% cnf(231450,negated_conjecture,(esk8_1(xk)=xk|$false|~aNaturalNumber0(xk)|~aNaturalNumber0(esk8_1(xk))),inference(rw,[status(thm)],[231449,8113,theory(equality)])).
% cnf(231451,negated_conjecture,(esk8_1(xk)=xk|$false|$false|~aNaturalNumber0(esk8_1(xk))),inference(rw,[status(thm)],[231450,100,theory(equality)])).
% cnf(231452,negated_conjecture,(esk8_1(xk)=xk|$false|$false|$false),inference(rw,[status(thm)],[231451,7705,theory(equality)])).
% cnf(231453,negated_conjecture,(esk8_1(xk)=xk),inference(cn,[status(thm)],[231452,theory(equality)])).
% cnf(231454,negated_conjecture,($false),inference(sr,[status(thm)],[231453,7700,theory(equality)])).
% cnf(231455,negated_conjecture,($false),231454,['proof']).
% # SZS output end CNFRefutation
% # Processed clauses : 7993
% # ...of these trivial : 176
% # ...subsumed : 5809
% # ...remaining for further processing: 2008
% # Other redundant clauses eliminated : 102
% # Clauses deleted for lack of memory : 0
% # Backward-subsumed : 92
% # Backward-rewritten : 33
% # Generated clauses : 85591
% # ...of the previous two non-trivial : 74213
% # Contextual simplify-reflections : 2118
% # Paramodulations : 85378
% # Factorizations : 0
% # Equation resolutions : 164
% # Current number of processed clauses: 1741
% # Positive orientable unit clauses: 266
% # Positive unorientable unit clauses: 0
% # Negative unit clauses : 122
% # Non-unit-clauses : 1353
% # Current number of unprocessed clauses: 64213
% # ...number of literals in the above : 397647
% # Clause-clause subsumption calls (NU) : 84790
% # Rec. Clause-clause subsumption calls : 42253
% # Unit Clause-clause subsumption calls : 2225
% # Rewrite failures with RHS unbound : 0
% # Indexed BW rewrite attempts : 77
% # Indexed BW rewrite successes : 35
% # Backwards rewriting index: 1302 leaves, 1.28+/-1.110 terms/leaf
% # Paramod-from index: 718 leaves, 1.14+/-0.547 terms/leaf
% # Paramod-into index: 938 leaves, 1.27+/-1.073 terms/leaf
% # -------------------------------------------------
% # User time : 4.347 s
% # System time : 0.168 s
% # Total time : 4.515 s
% # Maximum resident set size: 0 pages
% PrfWatch: 8.42 CPU 8.59 WC
% FINAL PrfWatch: 8.42 CPU 8.59 WC
% SZS output end Solution for /tmp/SystemOnTPTP29823/NUM483+3.tptp
%
%------------------------------------------------------------------------------